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Answer: A) Dashed line, shaded below</h3>
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Explanation:
2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).
The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16
To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".
We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.
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Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.
Plug those coordinates into either equation. I'll pick the second equation
y < -0.5x+4
0 < -0.5*0+4
0 < 0+4
0 < 4
The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4
So this is another way to see that the shaded region is below the boundary line.
Answer:
47.15%
Step-by-step explanation:
Getting a raise of 15% would increase the teacher's salary by 300. 943 of 2300 is 47.15%.
if itis perimeter add all sides
if it is área multiply
The equation simplified (combine like terms) would be 11x+(-24) =180.
Since adding a negative is the same as subtracting a positive, you could also write it as this: 11x-24=180. Next step is isolate the variable, so to do that you need to add 24 to both sides of the equation: 11x-24+24=180+24. This is the same as 11x=204. Now to get only one of the variable, you need to divide both sides by 11. x=18.54 repeating or x=18 6/11. Hope this helped!
Considerando las fórmulas para el perímetro y el área de un rectángulo, hay que se chega en una <u>eccuación cuadrática sin solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.
<h3>¿Cuál es la fórmula para el perímetro y el área de un rectángulo?</h3>
Considerando que las dimensiones son l y w, hay que:
- El perímetro es: P = 2(l + w).
El <u>perímetro es de 18 m</u>, o sea:
2(l + w) = 18
l + w = 9
l = 9- w.
El <u>área es de 21 m²</u>, o sea:
lw = 21
(9- w)w = 21
-w² + 9 - 21 = 0
w² - 9w + 21 = 0
El discriminante es dado por:
D = 9² - 4 x 1 x 21 = -3.
El discriminante negativo implica que la <u>eccuación cuadrática no tiene solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.
Puede-se aprender más a cerca de el perímetro y el área de un rectángulo en brainly.com/question/26475963
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